Event-triggered extended dissipative synchronization for delayed neural networks with random uncertainties

• Published in: Chaos, solitons and fractals Vol. 175; p. 113982
• Main Authors: Karnan, A., Nagamani, G.
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.10.2023
• Subjects: Delayed neural networks; Event-triggered controller; Extended dissipativity performance; Random uncertainties; Synchronization; Random uncertainties; Event-triggered controller; Synchronization; Delayed neural networks; Extended dissipativity performance
• ISSN: 0960-0779; 1873-2887
• DOI: 10.1016/j.chaos.2023.113982

This paper aims to study a generalized robust dynamical behavior called the extended dissipative synchronization of neural networks with time-varying delay and random uncertainties. To achieve the primary objective of minimizing network resource utilization while preserving desired closed-loop performance, an event-triggered control scheme is implemented. By constructing an augmented form of Lyapunov–Krasovskii functional and utilizing generalized integral inequalities, two novel synchronization criteria have been proposed in the form of linear matrix inequalities. It is worth noting that this paper studies a generalized dissipative performance index, enabling the various event-based synchronization problems, including H∞, L2−L∞, passivity, and (Q,S,R)−γ−dissipative synchronization in a unified framework. Ultimately, the efficacy and benefits of the suggested approach are demonstrated through two numerical examples. •An event-triggered control scheme is proposed for extended dissipative synchronization of delayed neural networks with randomly occurring uncertainty to effectively use communication resources.•The issue of generalized robust performance called extended dissipativity, which includes the H∞ , L2−L∞ , passivity, and (Q,S,R)−γ−dissipative indices are analyzed for the proposed uncertain NNs by adjusting the weighting parameters.•By constructing a suitable Lyapunov–Krasovskii functional (LKF) involving delay parameters and augmented LKF terms, the desired synchronization controller is designed such that the master and slave networks are synchronized in the extended dissipative sense.•An efficient algorithm is developed for the execution of an eventtriggered control scheme. Based on this algorithm, two numerical examples are provided to validate the theoretical findings.